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Finding the Third Proportional to 227,790 and 544,042

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Solution

The third proportional to 227,790 and 544,042 is: 1,299,362.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    227,790 : 544,042 = 544,042 : x
  2. Step 2: Convert to fraction form
    227,790/544,042 = 544,042/x
  3. Step 3: Cross multiply
    227,790x = 544,042 × 544,042
  4. Step 4: Simplify right side
    227,790x = 295,981,697,764
  5. Step 5: Solve for x
    x = 295,981,697,764/227,790
  6. Step 6: Final answer
    x = 1,299,362.12

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Why These Related Problems?

These problems maintain the same ratio (2.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.